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5628640 = 255127277
BaseRepresentation
bin10101011110001011100000
3101120222001011
4111132023200
52420104030
6320350304
765562013
oct25361340
911528034
105628640
1131a4976
121a75394
131220c74
14a6737a
15762b2a
hex55e2e0

5628640 has 48 divisors (see below), whose sum is σ = 13450752. Its totient is φ = 2225664.

The previous prime is 5628631. The next prime is 5628647. The reversal of 5628640 is 468265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20182 + ... + 20458.

It is an arithmetic number, because the mean of its divisors is an integer number (280224).

Almost surely, 25628640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725376).

5628640 is an abundant number, since it is smaller than the sum of its proper divisors (7822112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5628640 is a wasteful number, since it uses less digits than its factorization.

5628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 5628640 is about 2372.4755004004. The cubic root of 5628640 is about 177.8830187057.

The spelling of 5628640 in words is "five million, six hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 277 508 554 635 1016 1108 1270 1385 2032 2216 2540 2770 4064 4432 5080 5540 8864 10160 11080 20320 22160 35179 44320 70358 140716 175895 281432 351790 562864 703580 1125728 1407160 2814320 5628640